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Finding the Fourth Proportional to 217,706.73, 300,430.52 and 120,905.10

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Solution

The fourth proportional to 217,706.73, 300,430.52 and 120,905.10 is: 166,846.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,706.73 : 300,430.52 = 120,905.10 : x
  2. Step 2: Convert to fraction form
    217,706.73/300,430.52 = 120,905.10/x
  3. Step 3: Cross multiply
    217,706.73x = 300,430.52 × 120,905.10
  4. Step 4: Simplify right side
    217,706.73x = 36,323,581,459.13
  5. Step 5: Solve for x
    x = 36,323,581,459.13/217,706.73
  6. Step 6: Final answer
    x = 166,846.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.